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Let task time for of model and is the set of tasks assigned to station where = 1 . In that case if the cycle time is , the average feasibility condition can be stated as: ∑ ∈ ∑ q t ≤ CT (9) This condition indicates the averaged across all items produced in the long term, no workstation is overloaded. According to the feasibility condition, one single product ALB problem needs to be solved. Due to this, task time of task can be summarized as: t = ∑ q t (10) amount need to be produced. If be the greatest common For each model , denominator of all a repeating cycle comprised of = / units should suffice where the models are from = 1 .

ANTBAL: An ant colony optimization algorithm for balancing mixed-model assembly lines with parallel workstations, International journal of production research, Vol 44, Issue 2, pp. 291–303, ISSN ISSN: 1366-588 00207543 3 A Metaheuristic Approach to Solve the Alternative Subgraphs Assembly Line Balancing Problem Liliana Capacho1 and Rafael Pastor2 1University 2Technical of Los Andes University of Catalonia 1Venezuela 2Spain 1. Introduction Nowadays, assembly line balancing problems are commonly found in most manufacturing and production systems.

2009). Table 6 shows the results obtained by applying all proposed procedures to solve all data sets. , 24 methods performed better, in two cases both performed the same, and for 3 procedures it behave worse that LOP-1. On the other hand, all methods using LOP-2 provided best solutions in more than 54% of the cases. 3% of improvement comparing with the same method when applying LOP-1). 7%), and the smallest value of av (1%). Regarding LOP-1, the method that performed the best was W-NT_TSSk, which generated best solutions in 82,7% of the cases.

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